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Finding the Fourth Proportional to 6,502.16, 8,968.92 and 4,264.16

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Solution

The fourth proportional to 6,502.16, 8,968.92 and 4,264.16 is: 5,881.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.16 : 8,968.92 = 4,264.16 : x
  2. Step 2: Convert to fraction form
    6,502.16/8,968.92 = 4,264.16/x
  3. Step 3: Cross multiply
    6,502.16x = 8,968.92 × 4,264.16
  4. Step 4: Simplify right side
    6,502.16x = 38,244,909.91
  5. Step 5: Solve for x
    x = 38,244,909.91/6,502.16
  6. Step 6: Final answer
    x = 5,881.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.